dirichlet-nh.cc

The Poisson problem with non-homogeneous Dirichlet boundary conditions

#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "cosinusprod_laplace.h"
int main(int argc, char**argv) {
environment rheolef(argc, argv);
geo omega (argv[1]);
size_t d = omega.dimension();
space Xh (omega, argv[2]);
Xh.block ("boundary");
trial u (Xh); test v (Xh);
form a = integrate (dot(grad(u),grad(v)));
field lh = integrate (f(d)*v);
field uh (Xh);
space Wh (omega["boundary"], argv[2]);
uh ["boundary"] = interpolate(Wh, g(d));
problem p (a);
p.solve (lh, uh);
dout << uh;
}
g
u_exact g
Definition: burgers_diffusion_exact.h:33
lh
field lh(Float epsilon, Float t, const test &v)
Definition: burgers_diffusion_operators.icc:25
field
see the field page for the full documentation
form
see the form page for the full documentation
geo
see the geo page for the full documentation
problem
see the problem page for the full documentation
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
cosinusprod_laplace.h
The cosinus product function – right-hand-side and boundary condition for the Laplace problem.
main
int main(int argc, char **argv)
Definition: dirichlet-nh.cc:29
mkgeo_ball.f
int f
Definition: mkgeo_ball.sh:221
mkgeo_ball.d
int d
Definition: mkgeo_ball.sh:154
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::dot
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
dot(x,y): see the expression page for the full documentation
Definition: vec_expr_v2.h:415
rheolef::grad
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad(const Expr &expr)
grad(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:911
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
rheolef::interpolate
field_basic< T, M > interpolate(const space_basic< T, M > &V2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition: interpolate.cc:233
rheolef.h
rheolef - reference manual
a
Definition: diffusion_isotropic.h:25
p
Definition: sphere.icc:25
u
Definition: leveque.h:25
u
Float u(const point &x)
Definition: transmission_error.cc:26